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Finding the Fourth Proportional to 30,803.42, 42,508.23 and 17,374.70

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Solution

The fourth proportional to 30,803.42, 42,508.23 and 17,374.70 is: 23,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.42 : 42,508.23 = 17,374.70 : x
  2. Step 2: Convert to fraction form
    30,803.42/42,508.23 = 17,374.70/x
  3. Step 3: Cross multiply
    30,803.42x = 42,508.23 × 17,374.70
  4. Step 4: Simplify right side
    30,803.42x = 738,567,743.78
  5. Step 5: Solve for x
    x = 738,567,743.78/30,803.42
  6. Step 6: Final answer
    x = 23,976.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.